Question

which property is illustrated by the following statement? 8+3.4=3.4+8? Associative Property of Addition, Inverse property of addition, Inverse property of Multiplication, Commutative property of addition

Answer 1

Consider the given statement:

8+3.4=3.4+8

We have to identify the property used in this statement.

1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that $a+(b+c) = (a+b)+c$. This property is not used in the given statement.

2. Inverse property of addition: A number 'a' is said to have an inverse '-a' if $a+(-a)=0$. This property is not used in the given statement.

3. Inverse property of multiplication: A number 'a' is said to have an inverse '$\frac{1}{a}$' if $a \times \frac{1}{a}=1$. This property is not used in the given statement.

4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that $a+b = b+a$.

In the given statement, 8+3.4=3.4+8

which is expressed as 8+12 = 12+8, this statement holds commutative property of addition as whether 8 is added to 12 or 12  is added to 8, the result is same.

So, Commutative property of addition is illustrated in this statement.